Question

The 1.00-cm-long second hand on a watch rotates smoothly.
What is its angular velocity? What is the speed of the tip of the hand?

Answer 1

Answer:

Angular velocity = 0.105 rads⁻¹

speed of tip = 0.00105 ms⁻¹

Explanation:

A second hand turns  2π rad each 60 sec

Thus: it has an angular speed given by

ω = 2π/T = 2π/60 = π/30 = 0.105 rad s⁻¹

The speed of the tip is given by

V= rω = 0.01 m × (0.105 rads⁻¹)

= 0.00105 ms⁻¹